Chi-Squared Goodness of Fit (a) Suppose that Mary has a bag of candy and she expects that each color of candy occurs with equal likelihood. She took a sample of 30 candy and obtained the following data. Is this a valid assumption? Candy Color Observed Cont Red Blue Green 13 8 9

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Chi-Squared Goodness of Fit

(a) Suppose that Mary has a bag of candy and she expects that each color of candy occurs with equal likelihood. She took a sample of 30 candies and obtained the following data. Is this a valid assumption?

| Candy Color | Observed Count |
|-------------|----------------|
| Red         | 13             |
| Blue        | 8              |
| Green       | 9              |

In this scenario, Mary believes that each color (red, blue, green) should appear equally in a sample of 30 candies. To test the assumption, one could use a Chi-Squared Goodness of Fit test to determine whether the observed counts significantly deviate from the expected counts (which is 10 for each if they were truly equal).
Transcribed Image Text:Chi-Squared Goodness of Fit (a) Suppose that Mary has a bag of candy and she expects that each color of candy occurs with equal likelihood. She took a sample of 30 candies and obtained the following data. Is this a valid assumption? | Candy Color | Observed Count | |-------------|----------------| | Red | 13 | | Blue | 8 | | Green | 9 | In this scenario, Mary believes that each color (red, blue, green) should appear equally in a sample of 30 candies. To test the assumption, one could use a Chi-Squared Goodness of Fit test to determine whether the observed counts significantly deviate from the expected counts (which is 10 for each if they were truly equal).
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